When Classical Correlations Certify Entanglement Recovery

arXiv:2609.38168 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Entanglement — 57× in this paper · explained in 4 episodes
• Information Gain — 38× in this paper · explained in 2 episodes
• Spectral Gap — 28× in this paper · explained in 5 episodes
• Distillation — 16× in this paper · explained in 2 episodes
• Fidelity — 15× in this paper · explained in 2 episodes
• Hilbert Space — 14× in this paper · explained in 2 episodes
• Trace — 13× in this paper · explained in 2 episodes
• Verification — 11× in this paper · explained in 2 episodes
• Decoupling — 7× in this paper · explained in 2 episodes
• Entanglement Distillation — 7× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Steering — 3× in this paper · explained in 2 episodes
• CSS Codes — 2× in this paper · explained in 2 episodes
• APEX — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• RIKEN Center for Quantum Computing — 1× in this paper
• Robustness — 1× in this paper · explained in 5 episodes
• Semidefinite Programming (SDP) — 1× in this paper · explained in 3 episodes

Sources

• Complementarity, distillable secret key, and distillable entanglement
• Zero-Uncertainty States Relative to Observable Algebras
• Principles of Quantum Communication Theory: A Modern Approach
• Approximate quantum error correction, eigenstate thermalization and the chaos bound
• Improving quantum communication rates with permutation-invariant codes
• Vectorization of quantum operations and its use
• Quantum algorithms for Uhlmann transformation

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